103200240 has 320 divisors, whose sum is σ = 391974912. Its totient is φ = 22118400.

The previous prime is 103200233. The next prime is 103200247. The reversal of 103200240 is 42002301.

It is an interprime number because it is at equal distance from previous prime (103200233) and next prime (103200247).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1063872 + ... + 1063968.

Almost surely, 2^103200240 is an apocalyptic number.

103200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195987456).

103200240 is an abundant number, since it is smaller than the sum of its proper divisors (288774672).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103200240 is a wasteful number, since it uses less digits than its factorization.

103200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 103200240 is about 10158.7518918418. The cubic root of 103200240 is about 469.0583833860.

Adding to 103200240 its reverse (42002301), we get a palindrome (145202541).

The spelling of 103200240 in words is "one hundred three million, two hundred thousand, two hundred forty".